Question:
155 is what percent of 290? Or, What percent of 290 is equal to 155?
Correct Answer
53.45%
Solution And Explanation
Solution
Given number = 290
To find, 155 is what percent of 290?
This question can be written as also
What percent of 290 is equal to 155?
⇒ ?% of 290 = 155
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 290 = 155
⇒ m% × 290 = 155
⇒ m/100 × 290 = 155
⇒ 290 m/100 = 155
After cross multiplication, we get
290 m = 155 × 100
After transposing 290 to RHS, we get
m = 155 × 100/290
⇒ m = 15500/290
⇒ m = 53.45%
Thus, 53.45% of 290 = 155
Thus, Answer = 53.45%
Shortcut Method to find a number is what percent of other
If we have to find
? % of a = b
Here, let ? = m
Thus, above expression can be written as
m% of a = b
⇒ m/100 × a = b
⇒ m × a/100 = b
After cross multiplication, we get
m × a = b × 100
⇒ m = b × 100/a
Thus, using this formula, we can find a number (a) is what (m) percent of b
In the question, we have to find what percent of 290 = 155
Here, we have ? = m
a = 290
And, b = 155
Thus, using formula
⇒ m = 155 × 100/290
= 155 × 100/290
= 15500/290 = 53.45%
Thus, 53.45% of 290 = 155
Thus, 53.45% Answer
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